Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400b |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-63750000 = -1 · 24 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,387] |
[a1,a2,a3,a4,a6] |
Generators |
[7:25:1] |
Generators of the group modulo torsion |
j |
-256/255 |
j-invariant |
L |
3.6872788806058 |
L(r)(E,1)/r! |
Ω |
1.5853925429665 |
Real period |
R |
0.58144572726865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200bh1 81600id1 61200bz1 4080p1 |
Quadratic twists by: -4 8 -3 5 |